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A 2500−kg rocket is released from a space station. As it burns fuel, the rocket's mass decreases and its velocity increases. Let v(m) be the velocity (in meters per second) as a function of mass m. Find the velocity when m = 1444 kg if dv/dm = −40 m −1/2. Assume that v(2500) = 0. (Use symbolic notation and fractions where needed.) v(1444) = m/s

A 2500−kg rocket is released from a space station. As it burns fuel, the rocket's mass decreases and its velocity increases. Let v(m) be the velocity (in meters per second) as a function of mass m. Find the velocity when m = 1444 kg if dv/dm = −40 m −1/2. Assume that v(2500) = 0. (Use symbolic notation and fractions where needed.) v(1444) = m/s

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A 2500 − k g rocket is released from a space station. As it burns fuel, the rocket's mass decreases and its velocity increases. Let v ( m ) be the velocity (in meters per second) as a function of mass m . Find the velocity when m = 1444 k g if d v d m = − 40 m − 1 / 2 . Assume that v ( 2500 ) = 0 . (Use symbolic notation and fractions where needed.)
v ( 1444 ) =
◻ m / s

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